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Ross, Taio, and Malik are housemates who are trying to decide how much money to spend on internet in their apartment each month. . Taio
Ross, Taio, and Malik are housemates who are trying to decide how much money to spend on internet in their apartment each month. . Taio would ideally contribute $30. However, he would prefer contributing $60 to contributing $0 because he does not want to deal with lag. . Ross hates poor wifi connectivity. Therefore, he would ideally like each to contribute $60 to internet, and his utility declines at a constant rate as the roommates decrease the amount of money they spend. . Malik does not care about internet and is on a tight budget. Therefore, he prefers to contribute no money to internet, and his utility declines at a constant rate as the roommates increase the amount of money they spend. Suppose the three housemates vote on spending either $0, $30, or $60 on internet using the Borda count system of voting. That is, each housemate awards three points to his first choice, two points to his second choice, and one point to his third choice. Complete the following table by indicating the number of points each housemate awards to each option and then summing the scores of each option to obtain a final ranking. Borda Count For Spending... $60 $30 $0 Ross Taio Malik Total Under a system of Borda count, the winning option is _. If, instead, the housemates were to hold a two-phase election (such that they first voted between two options, then voted between the winner of that contest and the final option), the winner would be . (Hint: Determine the outcome if the roommates first voted between $60 and $0, and then voted between the winner of that contest and $30.) The median voter in this situation is
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